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61616466 = 23217613301
BaseRepresentation
bin1110101100001…
…1000101010010
311021221102220100
43223003011102
5111233211331
610040353230
71345505562
oct353030522
9137842810
1061616466
11318653aa
1218775816
13c9c4962
14827cda2
155621ae6
hex3ac3152

61616466 has 48 divisors (see below), whose sum is σ = 143716248. Its totient is φ = 19008000.

The previous prime is 61616419. The next prime is 61616479. The reversal of 61616466 is 66461616.

61616466 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 646 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35820225 + 25796241 = 5985^2 + 5079^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61616466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17016 + ... + 20316.

Almost surely, 261616466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61616466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71858124).

61616466 is an abundant number, since it is smaller than the sum of its proper divisors (82099782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61616466 is a wasteful number, since it uses less digits than its factorization.

61616466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3384 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 61616466 is about 7849.6156593810. The cubic root of 61616466 is about 394.9713508036.

The spelling of 61616466 in words is "sixty-one million, six hundred sixteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 3301 6222 6602 9333 9903 18666 19806 29709 56117 59418 112234 168351 201361 336702 402722 505053 604083 1010106 1208166 1812249 3423137 3624498 6846274 10269411 20538822 30808233 61616466